GCD of 408, 130, 41, 724 Calculator

Given Input numbers are 408, 130, 41, 724

In the factoring method, we have to find the divisors of all numbers

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (408, 130, 41, 724) = 1.

Given numbers are 408, 130, 41, 724

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 41 are 41

Prime factors of 724 are 2 x 2 x 181

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 408, 130, 41, 724

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(408, 130) = 26520

GCD(408, 130) = ( 408 x 130 ) / 26520

= 408 / 130

= 408

Step2:

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

= 2 / 41

= 2

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 408, 130, 41, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 394, 19, 157
• GCD of 448, 158, 14, 798
• GCD of 102, 494, 27, 448
• GCD of 872, 917, 21, 237
• GCD of 422, 947, 96, 231

Given numbers are 408, 130, 41, 724
The greatest common divisor of numbers 408, 130, 41, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 130, 41, 724 is 1.

1. What is the GCD of 408, 130, 41, 724?

GCD of given numbers 408, 130, 41, 724 is 1

2. How to calculate the greatest common divisor of 408, 130, 41, 724?

We can find the highest common divisor of 408, 130, 41, 724 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 408, 130, 41, 724 i.e 1.

3. How can I use the GCD of 408, 130, 41, 724Calculator?

Out the numbers 408, 130, 41, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.